Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

TL;DR

This paper investigates how the Casimir effect is influenced by Kerr spacetime with quintessence and massive gravitons, analyzing thermal corrections and confirming thermodynamic laws in this complex gravitational setting.

Contribution

It provides an analytical framework for calculating thermal Casimir effects in Kerr spacetime with additional fields, including quintessence and massive gravitons, highlighting their impact on force and entropy.

Findings

High temperature repulsive Casimir force increases with quintessence and gravitons.

Casimir entropy complies with the third law of thermodynamics.

Thermal corrections significantly affect the Casimir energy-density and entropy.

Abstract

Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy-density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework is the Kerr spacetime in the presence of quintessence and massive gravitons. The high and low temperature regimes are especially analysed in order to distinguish the main contributions. For instance, in the high temperature regime, we show that the force between the plates is repulsive and grows with both the quintessence and the massive gravitons. Regarding the Casimir entropy, our results are in agreement with the Nernst heat theorem and therefore confirm the third law of thermodynamics in the present scenario.